Stone compactification of additive generalized-algebraic lattices
Xueyou Chen, Quingguo Li, Zike Deng · Applied General Topology · 2007
In this paper, the notions of regular, completely regular, compact additive generalized algebraic lattices are introduced, and Stone compactification is constructed. The following theorem is also obtained. Theorem: An additive generalized algebraic lattice has a Stone compactification if and only if it is regular and completely regular.